/* Copyright (C) 2008-2021 Free Software Foundation, Inc. Contributor: Joern Rennecke on behalf of Synopsys Inc. This file is part of GCC. GCC is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version. GCC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. Under Section 7 of GPL version 3, you are granted additional permissions described in the GCC Runtime Library Exception, version 3.1, as published by the Free Software Foundation. You should have received a copy of the GNU General Public License and a copy of the GCC Runtime Library Exception along with this program; see the files COPYING3 and COPYING.RUNTIME respectively. If not, see . */ /* - calculate 15..18 bit inverse using a table of approximating polynoms. precision is higher for polynoms used to evaluate input with larger value. - do one newton-raphson iteration step to double the precision, then multiply this with the divisor -> more time to decide if dividend is subnormal - the worst error propagation is on the side of the value range with the least initial defect, thus giving us about 30 bits precision. */ #include "arc-ieee-754.h" #if 0 /* DEBUG */ .global __divsf3 FUNC(__divsf3) .balign 4 __divsf3: push_s blink push_s r1 bl.d __divsf3_c push_s r0 ld_s r1,[sp,4] st_s r0,[sp,4] bl.d __divsf3_asm pop_s r0 pop_s r1 pop_s blink cmp r0,r1 #if 1 bne abort jeq_s [blink] b abort #else bne abort j_s [blink] #endif ENDFUNC(__divsf3) #define __divsf3 __divsf3_asm #endif /* DEBUG */ FUNC(__divsf3) .balign 4 .L7f800000: .long 0x7f800000 .Ldivtab: .long 0xfc0ffff0 .long 0xf46ffefd .long 0xed1ffd2a .long 0xe627fa8e .long 0xdf7ff73b .long 0xd917f33b .long 0xd2f7eea3 .long 0xcd1fe986 .long 0xc77fe3e7 .long 0xc21fdddb .long 0xbcefd760 .long 0xb7f7d08c .long 0xb32fc960 .long 0xae97c1ea .long 0xaa27ba26 .long 0xa5e7b22e .long 0xa1cfa9fe .long 0x9ddfa1a0 .long 0x9a0f990c .long 0x9667905d .long 0x92df878a .long 0x8f6f7e84 .long 0x8c27757e .long 0x88f76c54 .long 0x85df630c .long 0x82e759c5 .long 0x8007506d .long 0x7d3f470a .long 0x7a8f3da2 .long 0x77ef341e .long 0x756f2abe .long 0x72f7212d .long 0x709717ad .long 0x6e4f0e44 .long 0x6c1704d6 .long 0x69e6fb44 .long 0x67cef1d7 .long 0x65c6e872 .long 0x63cedf18 .long 0x61e6d5cd .long 0x6006cc6d .long 0x5e36c323 .long 0x5c76b9f3 .long 0x5abeb0b7 .long 0x5916a79b .long 0x57769e77 .long 0x55de954d .long 0x54568c4e .long 0x52d6834d .long 0x51667a7f .long 0x4ffe71b5 .long 0x4e9e68f1 .long 0x4d466035 .long 0x4bf65784 .long 0x4aae4ede .long 0x496e4646 .long 0x48363dbd .long 0x47063547 .long 0x45de2ce5 .long 0x44be2498 .long 0x43a61c64 .long 0x4296144a .long 0x41860c0e .long 0x407e03ee __divsf3_support: /* This label makes debugger output saner. */ .Ldenorm_fp1: bclr r6,r6,31 norm.f r12,r6 ; flag for x/0 -> Inf check add r6,r6,r6 rsub r5,r12,16 ror r5,r1,r5 asl r6,r6,r12 bmsk r5,r5,5 ld.as r5,[r3,r5] add r4,r6,r6 ; load latency MPYHU r7,r5,r4 bic.ne.f 0, \ 0x60000000,r0 ; large number / denorm -> Inf beq_s .Linf_NaN asl r5,r5,13 ; wb stall ; slow track sub r7,r5,r7 MPYHU r8,r7,r6 asl_s r12,r12,23 and.f r2,r0,r9 add r2,r2,r12 asl r12,r0,8 ; wb stall bne.d .Lpast_denorm_fp1 .Ldenorm_fp0: MPYHU r8,r8,r7 bclr r12,r12,31 norm.f r3,r12 ; flag for 0/x -> 0 check bic.ne.f 0,0x60000000,r1 ; denorm/large number -> 0 beq_s .Lret0 asl_s r12,r12,r3 asl_s r3,r3,23 add_s r12,r12,r12 add r11,r11,r3 b.d .Lpast_denorm_fp0 mov_s r3,r12 .balign 4 .Linf_NaN: bclr.f 0,r0,31 ; 0/0 -> NaN xor_s r0,r0,r1 bmsk r1,r0,30 bic_s r0,r0,r1 sub.eq r0,r0,1 j_s.d [blink] or r0,r0,r9 .Lret0: xor_s r0,r0,r1 bmsk r1,r0,30 j_s.d [blink] bic_s r0,r0,r1 .Linf_nan_fp1: lsr_s r0,r0,31 bmsk.f 0,r1,22 asl_s r0,r0,31 bne_s 0f ; inf/inf -> nan brne r2,r9,.Lsigned0 ; x/inf -> 0, but x/nan -> nan 0: j_s.d [blink] mov r0,-1 .Lsigned0: .Linf_nan_fp0: tst_s r1,r1 j_s.d [blink] bxor.mi r0,r0,31 .balign 4 .global __divsf3 /* N.B. the spacing between divtab and the sub3 to get its address must be a multiple of 8. */ __divsf3: lsr r2,r1,17 sub3 r3,pcl,55;(.-.Ldivtab) >> 3 bmsk_s r2,r2,5 ld.as r5,[r3,r2] asl r4,r1,9 ld.as r9,[pcl,-114]; [pcl,(-((.-.L7f800000) >> 2))] ; 0x7f800000 MPYHU r7,r5,r4 asl r6,r1,8 and.f r11,r1,r9 bset r6,r6,31 asl r5,r5,13 ; wb stall beq .Ldenorm_fp1 sub r7,r5,r7 MPYHU r8,r7,r6 breq.d r11,r9,.Linf_nan_fp1 and.f r2,r0,r9 beq.d .Ldenorm_fp0 asl r12,r0,8 ; wb stall breq r2,r9,.Linf_nan_fp0 MPYHU r8,r8,r7 .Lpast_denorm_fp1: bset r3,r12,31 .Lpast_denorm_fp0: cmp_s r3,r6 lsr.cc r3,r3,1 add_s r2,r2, /* wait for immediate */ \ /* wb stall */ \ 0x3f000000 sub r7,r7,r8 ; u1.31 inverse, about 30 bit MPYHU r3,r3,r7 sbc r2,r2,r11 xor.f 0,r0,r1 and r0,r2,r9 bxor.mi r0,r0,31 brhs r2, /* wb stall / wait for immediate */ \ 0x7f000000,.Linf_denorm .Lpast_denorm: add_s r3,r3,0x22 ; round to nearest or higher tst r3,0x3c ; check if rounding was unsafe lsr r3,r3,6 jne.d [blink] ; return if rounding was safe. add_s r0,r0,r3 /* work out exact rounding if we fall through here. */ /* We know that the exact result cannot be represented in single precision. Find the mid-point between the two nearest representable values, multiply with the divisor, and check if the result is larger than the dividend. */ add_s r3,r3,r3 sub_s r3,r3,1 mpyu r3,r3,r6 asr.f 0,r0,1 ; for round-to-even in case this is a denorm rsub r2,r9,25 asl_s r12,r12,r2 ; wb stall ; slow track sub.f 0,r12,r3 j_s.d [blink] sub.mi r0,r0,1 /* For denormal results, it is possible that an exact result needs rounding, and thus the round-to-even rule has to come into play. */ .Linf_denorm: brlo r2,0xc0000000,.Linf .Ldenorm: asr_s r2,r2,23 bic r0,r0,r9 neg r9,r2 brlo.d r9,25,.Lpast_denorm lsr r3,r3,r9 /* Fall through: return +- 0 */ j_s [blink] .Linf: j_s.d [blink] or r0,r0,r9 ENDFUNC(__divsf3)